Solve 1234:19

$$1234 : 19$$

Evaluate

$$\frac{1234}{19}\approx 64.947368421$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1234

$$\begin{array}{l}\phantom{19)}\phantom{1}\\19\overline{)1234}\\\end{array}$$

Since 1 is less than 19, use the next digit 2 from dividend 1234 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}0\phantom{2}\\19\overline{)1234}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1234

$$\begin{array}{l}\phantom{19)}0\phantom{3}\\19\overline{)1234}\\\end{array}$$

Since 12 is less than 19, use the next digit 3 from dividend 1234 and add 0 to the quotient

$$\begin{array}{l}\phantom{19)}00\phantom{4}\\19\overline{)1234}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1234

$$\begin{array}{l}\phantom{19)}00\phantom{5}\\19\overline{)1234}\\\end{array}$$

Find closest multiple of 19 to 123. We see that 6 \times 19 = 114 is the nearest. Now subtract 114 from 123 to get reminder 9. Add 6 to quotient.

$$\begin{array}{l}\phantom{19)}006\phantom{6}\\19\overline{)1234}\\\phantom{19)}\underline{\phantom{}114\phantom{9}}\\\phantom{19)99}9\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1234

$$\begin{array}{l}\phantom{19)}006\phantom{7}\\19\overline{)1234}\\\phantom{19)}\underline{\phantom{}114\phantom{9}}\\\phantom{19)99}94\\\end{array}$$

Find closest multiple of 19 to 94. We see that 4 \times 19 = 76 is the nearest. Now subtract 76 from 94 to get reminder 18. Add 4 to quotient.

$$\begin{array}{l}\phantom{19)}0064\phantom{8}\\19\overline{)1234}\\\phantom{19)}\underline{\phantom{}114\phantom{9}}\\\phantom{19)99}94\\\phantom{19)}\underline{\phantom{99}76\phantom{}}\\\phantom{19)99}18\\\end{array}$$

Since 18 is less than 19, stop the division. The reminder is 18. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.

$$\text{Quotient: }64 \text{Reminder: }18$$

Factor

$$\frac{2 \cdot 617}{19} = 64\frac{18}{19} = 64.94736842105263$$